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Finding the Fourth Proportional to 8,047.68, 12,061.44 and 3,425.28

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Solution

The fourth proportional to 8,047.68, 12,061.44 and 3,425.28 is: 5,133.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,047.68 : 12,061.44 = 3,425.28 : x
  2. Step 2: Convert to fraction form
    8,047.68/12,061.44 = 3,425.28/x
  3. Step 3: Cross multiply
    8,047.68x = 12,061.44 × 3,425.28
  4. Step 4: Simplify right side
    8,047.68x = 41,313,809.20
  5. Step 5: Solve for x
    x = 41,313,809.20/8,047.68
  6. Step 6: Final answer
    x = 5,133.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.